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Primary 4 Mathematics Data Analysis Quiz
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Questions
Primary 4 Mathematics Quiz - Data Analysis
Name: ___________________________
Class: Primary 4 _______
Date: _______________
Score: _______ / 30
Duration: 45 minutes
Total Marks: 30
Instructions:
- Answer all questions.
- Write your answers in the spaces provided.
- For Section A, choose the correct answer and write its number (1, 2, 3, or 4) in the brackets.
- For Section B and C, show your working clearly.
- The number of marks is given in brackets [ ] at the end of each question or part question.
Section A: Multiple Choice Questions (5 × 1 mark = 5 marks)
1. The table below shows the number of books read by four students in a month.
| Student | Number of Books |
|---|---|
| Ali | 8 |
| Bala | 12 |
| Cindy | 5 |
| Devi | 10 |
Who read the second highest number of books?
(1) Ali
(2) Bala
(3) Cindy
(4) Devi
Answer: (_____) [1]
2. The line graph below shows the temperature of a cup of hot tea over 10 minutes.
<image_placeholder> id: Q2-fig1 type: graph linked_question: Q2 description: Line graph showing temperature of hot tea cooling over 10 minutes. X-axis: Time (minutes) from 0 to 10. Y-axis: Temperature (°C) from 0 to 100. Points: (0, 90), (2, 75), (4, 62), (6, 52), (8, 45), (10, 40). Line connecting points decreasing. labels: Time (min), Temperature (°C) values: (0,90), (2,75), (4,62), (6,52), (8,45), (10,40) must_show: Decreasing curve, labeled axes, data points marked </image_placeholder>
What was the temperature of the tea at the 4th minute?
(1) 52°C
(2) 62°C
(3) 75°C
(4) 90°C
Answer: (_____) [1]
3. The pie chart below shows the favourite fruits of 40 pupils in a class.
<image_placeholder> id: Q3-fig1 type: chart linked_question: Q3 description: Pie chart showing favourite fruits of 40 pupils. Sectors: Apples (90°), Oranges (72°), Bananas (108°), Grapes (90°). labels: Apples, Oranges, Bananas, Grapes values: Apples 90°, Oranges 72°, Bananas 108°, Grapes 90° must_show: Four sectors with degree labels, legend or direct labels </image_placeholder>
How many pupils chose Bananas as their favourite fruit?
(1) 8
(2) 10
(3) 12
(4) 18
Answer: (_____) [1]
4. The table below shows the number of cars that passed a school gate from Monday to Friday.
| Day | Number of Cars |
|---|---|
| Monday | 45 |
| Tuesday | 38 |
| Wednesday | 52 |
| Thursday | 41 |
| Friday | 49 |
What is the total number of cars that passed the school gate from Monday to Friday?
(1) 175
(2) 205
(3) 225
(4) 255
Answer: (_____) [1]
5. The line graph shows the height of a plant over 5 weeks.
<image_placeholder> id: Q5-fig1 type: graph linked_question: Q5 description: Line graph showing plant height over 5 weeks. X-axis: Week (1 to 5). Y-axis: Height (cm) from 0 to 30. Points: (1, 5), (2, 9), (3, 14), (4, 20), (5, 27). Line connecting points increasing. labels: Week, Height (cm) values: (1,5), (2,9), (3,14), (4,20), (5,27) must_show: Increasing line, labeled axes, data points marked </image_placeholder>
Between which two weeks did the plant grow the most?
(1) Week 1 and Week 2
(2) Week 2 and Week 3
(3) Week 3 and Week 4
(4) Week 4 and Week 5
Answer: (_____) [1]
Section B: Short Answer Questions (10 × 2 marks = 20 marks)
6. The table below shows the number of stamps collected by five children.
| Child | Number of Stamps |
|---|---|
| Ahmad | 135 |
| Betty | 248 |
| Carol | 187 |
| David | 312 |
| Emma | 96 |
(a) Who collected the most stamps?
Answer: _________________________ [1]
(b) How many more stamps did David collect than Emma?
Answer: _________________________ [1]
7. The line graph below shows the amount of water in a tank over 6 hours.
<image_placeholder> id: Q7-fig1 type: graph linked_question: Q7 description: Line graph showing water volume in tank over 6 hours. X-axis: Time (hours) 0 to 6. Y-axis: Volume (litres) 0 to 120. Points: (0, 100), (1, 85), (2, 70), (3, 55), (4, 40), (5, 25), (6, 10). Straight line decreasing. labels: Time (hours), Volume (litres) values: (0,100), (1,85), (2,70), (3,55), (4,40), (5,25), (6,10) must_show: Straight decreasing line, labeled axes, data points marked </image_placeholder>
(a) How much water was in the tank at the start?
Answer: ____________ litres [1]
(b) At what rate was the water decreasing per hour?
Answer: ____________ litres per hour [1]
8. The pie chart below shows how Jun Jie spent his pocket money of $80 in a week.
<image_placeholder> id: Q8-fig1 type: chart linked_question: Q8 description: Pie chart showing Jun Jie's pocket money spending. Sectors: Food (135°), Transport (45°), Savings (90°), Others (90°). labels: Food, Transport, Savings, Others values: Food 135°, Transport 45°, Savings 90°, Others 90° must_show: Four sectors with degree labels, legend or direct labels </image_placeholder>
(a) What fraction of his pocket money did Jun Jie spend on Food?
Answer: _________________________ [1]
(b) How much money did he spend on Transport?
Answer: $_________________________ [1]
9. The table below shows the number of goals scored by a football team in 6 matches.
| Match | Goals Scored |
|---|---|
| 1 | 2 |
| 2 | 1 |
| 3 | 3 |
| 4 | 2 |
| 5 | 0 |
| 6 | 4 |
(a) What is the mode of the number of goals scored?
Answer: _________________________ [1]
(b) Find the average (mean) number of goals scored per match.
Answer: _________________________ [1]
10. The line graph shows the number of visitors to a library from Monday to Saturday.
<image_placeholder> id: Q10-fig1 type: graph linked_question: Q10 description: Line graph showing library visitors Mon-Sat. X-axis: Days (Mon, Tue, Wed, Thu, Fri, Sat). Y-axis: Visitors (0 to 200). Points: Mon(120), Tue(90), Wed(150), Thu(110), Fri(130), Sat(180). Line connecting points. labels: Day, Number of Visitors values: Mon 120, Tue 90, Wed 150, Thu 110, Fri 130, Sat 180 must_show: Line graph with day labels on x-axis, data points marked </image_placeholder>
(a) On which day did the library have the fewest visitors?
Answer: _________________________ [1]
(b) How many more visitors were there on Saturday than on Tuesday?
Answer: _________________________ [1]
11. The pie chart below shows the types of pets owned by 60 families in a neighbourhood.
<image_placeholder> id: Q11-fig1 type: chart linked_question: Q11 description: Pie chart showing pet ownership of 60 families. Sectors: Dogs (120°), Cats (90°), Birds (60°), Fish (90°). labels: Dogs, Cats, Birds, Fish values: Dogs 120°, Cats 90°, Birds 60°, Fish 90° must_show: Four sectors with degree labels, legend or direct labels </image_placeholder>
(a) How many families own Dogs?
Answer: _________________________ [1]
(b) What percentage of families own Cats?
Answer: _________________________ % [1]
12. The table below shows the mass of 5 parcels.
| Parcel | Mass (kg) |
|---|---|
| A | 2.5 |
| B | 3.8 |
| C | 1.2 |
| D | 4.5 |
| E | 2.0 |
(a) What is the total mass of the 5 parcels?
Answer: ____________ kg [1]
(b) What is the average mass of the parcels?
Answer: ____________ kg [1]
13. The line graph below shows the distance travelled by a cyclist over 5 hours.
<image_placeholder> id: Q13-fig1 type: graph linked_question: Q13 description: Line graph showing cyclist distance over 5 hours. X-axis: Time (hours) 0 to 5. Y-axis: Distance (km) 0 to 60. Points: (0,0), (1,12), (2,24), (3,36), (4,48), (5,60). Straight line through origin. labels: Time (hours), Distance (km) values: (0,0), (1,12), (2,24), (3,36), (4,48), (5,60) must_show: Straight line through origin, labeled axes, data points marked </image_placeholder>
(a) What was the cyclist's speed in km/h?
Answer: ____________ km/h [1]
(b) How far would the cyclist travel in 7 hours at the same speed?
Answer: ____________ km [1]
14. The table below shows the number of story books borrowed from a library over 4 months.
| Month | Number of Books |
|---|---|
| January | 320 |
| February | 280 |
| March | 350 |
| April | 300 |
(a) In which month were the most books borrowed?
Answer: _________________________ [1]
(b) Find the difference between the highest and lowest number of books borrowed.
Answer: _________________________ [1]
15. The pie chart shows the favourite colours of 80 students.
<image_placeholder> id: Q15-fig1 type: chart linked_question: Q15 description: Pie chart showing favourite colours of 80 students. Sectors: Blue (108°), Red (72°), Green (90°), Yellow (90°). labels: Blue, Red, Green, Yellow values: Blue 108°, Red 72°, Green 90°, Yellow 90° must_show: Four sectors with degree labels, legend or direct labels </image_placeholder>
(a) How many students chose Blue as their favourite colour?
Answer: _________________________ [1]
(b) How many more students chose Green than Red?
Answer: _________________________ [1]
Section C: Structured Questions (5 × 1 mark = 5 marks)
16. The table below shows the number of muffins sold at a bakery from Monday to Sunday.
| Day | Muffins Sold |
|---|---|
| Monday | 45 |
| Tuesday | 38 |
| Wednesday | 52 |
| Thursday | 41 |
| Friday | 60 |
| Saturday | 75 |
| Sunday | 68 |
(a) What is the total number of muffins sold in the week?
Answer: _________________________ [1]
(b) What is the average number of muffins sold per day?
Answer: _________________________ [1]
(c) On how many days were more than 50 muffins sold?
Answer: _________________________ [1]
17. The line graph below shows the temperature in a room over 8 hours after a heater was turned on.
<image_placeholder> id: Q17-fig1 type: graph linked_question: Q17 description: Line graph showing room temperature over 8 hours. X-axis: Time (hours) 0 to 8. Y-axis: Temperature (°C) 20 to 30. Points: (0,20), (1,22), (2,24), (3,25), (4,26), (5,26.5), (6,27), (7,27), (8,27). Curve increasing then plateauing. labels: Time (hours), Temperature (°C) values: (0,20), (1,22), (2,24), (3,25), (4,26), (5,26.5), (6,27), (7,27), (8,27) must_show: Curve increasing then plateauing, labeled axes, data points marked </image_placeholder>
(a) What was the temperature of the room before the heater was turned on?
Answer: ____________ °C [1]
(b) During which hour did the temperature increase the most?
Answer: Between hour ______ and hour ______ [1]
(c) What happened to the temperature after the 5th hour?
Answer: _________________________________________________________________ [1]
18. The table below shows the number of hours 5 students spent on homework in a week.
| Student | Hours |
|---|---|
| Peter | 6 |
| Queenie | 8 |
| Ravi | 5 |
| Susan | 9 |
| Tom | 7 |
(a) What is the total number of hours spent by all 5 students?
Answer: _________________________ [1]
(b) What is the average number of hours spent per student?
Answer: _________________________ [1]
(c) How many students spent more than the average number of hours on homework?
Answer: _________________________ [1]
19. The pie chart below shows the favourite sports of 120 pupils.
<image_placeholder> id: Q19-fig1 type: chart linked_question: Q19 description: Pie chart showing favourite sports of 120 pupils. Sectors: Swimming (108°), Badminton (72°), Soccer (90°), Basketball (90°). labels: Swimming, Badminton, Soccer, Basketball values: Swimming 108°, Badminton 72°, Soccer 90°, Basketball 90° must_show: Four sectors with degree labels, legend or direct labels </image_placeholder>
(a) How many pupils chose Swimming as their favourite sport?
Answer: _________________________ [1]
(b) What fraction of the pupils chose Badminton?
Answer: _________________________ [1]
(c) How many more pupils chose Soccer than Badminton?
Answer: _________________________ [1]
20. The line graph below shows the amount of rainfall (in mm) recorded over 6 months.
<image_placeholder> id: Q20-fig1 type: graph linked_question: Q20 description: Line graph showing monthly rainfall over 6 months. X-axis: Months (Jan to Jun). Y-axis: Rainfall (mm) 0 to 300. Points: Jan(150), Feb(100), Mar(200), Apr(250), May(180), Jun(120). Line connecting points. labels: Month, Rainfall (mm) values: Jan 150, Feb 100, Mar 200, Apr 250, May 180, Jun 120 must_show: Line graph with month labels on x-axis, data points marked </image_placeholder>
(a) In which month was the rainfall the highest?
Answer: _________________________ [1]
(b) What was the difference in rainfall between April and February?
Answer: ____________ mm [1]
(c) What was the total rainfall for the 6 months?
Answer: ____________ mm [1]
End of Quiz
Answers
Primary 4 Mathematics Quiz - Data Analysis (Answer Key)
Total Marks: 30
Section A: Multiple Choice Questions (5 × 1 mark = 5 marks)
1. Answer: (4) Devi
Working:
- Order the number of books from highest to lowest: Bala (12), Devi (10), Ali (8), Cindy (5)
- Second highest is Devi with 10 books.
Mark: [1]
2. Answer: (2) 62°C
Working:
- Read the line graph at 4 minutes on the x-axis.
- The point at 4 minutes corresponds to 62°C on the y-axis.
Mark: [1]
3. Answer: (3) 12
Working:
- Total pupils = 40
- Bananas sector = 108°
- Fraction for Bananas = 108° / 360° = 3/10
- Number of pupils = 3/10 × 40 = 12
Mark: [1]
Common mistake: Forgetting to divide by 360° or miscalculating the fraction.
4. Answer: (3) 225
Working:
- Total = 45 + 38 + 52 + 41 + 49 = 225
Mark: [1]
5. Answer: (4) Week 4 and Week 5
Working:
- Growth Week 1→2: 9 - 5 = 4 cm
- Growth Week 2→3: 14 - 9 = 5 cm
- Growth Week 3→4: 20 - 14 = 6 cm
- Growth Week 4→5: 27 - 20 = 7 cm
- Greatest growth is 7 cm between Week 4 and Week 5.
Mark: [1]
Section B: Short Answer Questions (10 × 2 marks = 20 marks)
6. (a) Answer: David
Working: Compare all values: 135, 248, 187, 312, 96. Largest is 312 (David).
Mark: [1]
(b) Answer: 216
Working: David's stamps - Emma's stamps = 312 - 96 = 216
Mark: [1]
7. (a) Answer: 100 litres
Working: At time 0 hours (start), the graph shows 100 litres on the y-axis.
Mark: [1]
(b) Answer: 15 litres per hour
Working: The water decreases by 15 litres each hour (100→85→70→55→40→25→10). Rate = 15 litres/hour.
Mark: [1]
Note: Constant rate shown by straight line.
8. (a) Answer: 3/8
Working: Food sector = 135°. Fraction = 135°/360° = 3/8 (divide by 45).
Mark: [1]
(b) Answer: 80 = $10.
Mark: [1]
9. (a) Answer: 2
Working: Goals: 2, 1, 3, 2, 0, 4. The number 2 appears twice (most frequent). Mode = 2.
Mark: [1]
(b) Answer: 2
Working: Total goals = 2+1+3+2+0+4 = 12. Number of matches = 6. Mean = 12 ÷ 6 = 2.
Mark: [1]
10. (a) Answer: Tuesday
Working: Read values: Mon 120, Tue 90, Wed 150, Thu 110, Fri 130, Sat 180. Lowest is 90 on Tuesday.
Mark: [1]
(b) Answer: 90
Working: Saturday (180) - Tuesday (90) = 90 more visitors.
Mark: [1]
11. (a) Answer: 20
Working: Dogs sector = 120°. Fraction = 120°/360° = 1/3. Families = 1/3 × 60 = 20.
Mark: [1]
(b) Answer: 25%
Working: Cats sector = 90°. Fraction = 90°/360° = 1/4. Percentage = 1/4 × 100% = 25%.
Mark: [1]
12. (a) Answer: 14.0 kg
Working: Total = 2.5 + 3.8 + 1.2 + 4.5 + 2.0 = 14.0 kg
Mark: [1]
(b) Answer: 2.8 kg
Working: Average = Total mass ÷ Number of parcels = 14.0 ÷ 5 = 2.8 kg
Mark: [1]
13. (a) Answer: 12 km/h
Working: Distance increases by 12 km each hour (0→12→24→36→48→60). Speed = 12 km/h.
Mark: [1]
Note: Straight line through origin means constant speed.
(b) Answer: 84 km
Working: Distance = Speed × Time = 12 km/h × 7 h = 84 km
Mark: [1]
14. (a) Answer: March
Working: Compare: Jan 320, Feb 280, Mar 350, Apr 300. Highest is 350 in March.
Mark: [1]
(b) Answer: 70
Working: Highest = 350 (March), Lowest = 280 (February). Difference = 350 - 280 = 70.
Mark: [1]
15. (a) Answer: 24
Working: Blue sector = 108°. Fraction = 108°/360° = 3/10. Students = 3/10 × 80 = 24.
Mark: [1]
(b) Answer: 4
Working: Green = 90°/360° × 80 = 20 students. Red = 72°/360° × 80 = 16 students. Difference = 20 - 16 = 4.
Mark: [1]
Section C: Structured Questions (5 × 1 mark = 5 marks)
16. (a) Answer: 379
Working: Total = 45 + 38 + 52 + 41 + 60 + 75 + 68 = 379
Mark: [1]
(b) Answer: 54 (or 54.1)
Working: Average = Total ÷ 7 days = 379 ÷ 7 = 54.14... ≈ 54 (accept 54.1 or 54 1/7)
Mark: [1]
(c) Answer: 4 days
Working: Days with >50 muffins: Wednesday (52), Friday (60), Saturday (75), Sunday (68) = 4 days.
Mark: [1]
17. (a) Answer: 20 °C
Working: At hour 0 (before heater on), temperature reads 20°C on the graph.
Mark: [1]
(b) Answer: Between hour 1 and hour 2
Working: Temperature increases: 0→1: +2°C, 1→2: +2°C, 2→3: +1°C, 3→4: +1°C, 4→5: +0.5°C, 5→6: +0.5°C, 6→7: 0°C, 7→8: 0°C. Largest increase is 2°C (between hour 0-1 and 1-2). Accept either "hour 0 and hour 1" or "hour 1 and hour 2".
Mark: [1]
(c) Answer: The temperature remained constant / stayed the same at 27°C / stopped increasing.
Working: From hour 5 to hour 8, the temperature stays at 27°C (plateau).
Mark: [1]
18. (a) Answer: 35
Working: Total = 6 + 8 + 5 + 9 + 7 = 35 hours
Mark: [1]
(b) Answer: 7
Working: Average = Total hours ÷ Number of students = 35 ÷ 5 = 7 hours
Mark: [1]
(c) Answer: 2
Working: Average = 7 hours. Students with >7 hours: Queenie (8), Susan (9) = 2 students.
Mark: [1]
19. (a) Answer: 36
Working: Swimming sector = 108°. Fraction = 108°/360° = 3/10. Pupils = 3/10 × 120 = 36.
Mark: [1]
(b) Answer: 1/5
Working: Badminton sector = 72°. Fraction = 72°/360° = 1/5.
Mark: [1]
(c) Answer: 6
Working: Soccer = 90°/360° × 120 = 30 pupils. Badminton = 72°/360° × 120 = 24 pupils. Difference = 30 - 24 = 6.
Mark: [1]
20. (a) Answer: April
Working: Read values: Jan 150, Feb 100, Mar 200, Apr 250, May 180, Jun 120. Highest is 250 mm in April.
Mark: [1]
(b) Answer: 150
Working: April (250 mm) - February (100 mm) = 150 mm.
Mark: [1]
(c) Answer: 1000
Working: Total = 150 + 100 + 200 + 250 + 180 + 120 = 1000 mm.
Mark: [1]
End of Answer Key